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Many enzymes appear to diffuse faster in the presence of substrate and to drift either up or down a concentration gradient of their substrate. Observations of these phenomena, termed enhanced enzyme diffusion (EED) and enzyme chemotaxis,…

Chemical Physics · Physics 2019-10-29 Mudong Feng , Michael K. Gilson

We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or…

Dynamical Systems · Mathematics 2012-12-03 T. A. M. Langlands , B. I. Henry

During development, highly ordered structures emerge as cells collectively coordinate with each other. While recent advances have clarified how individual cells process and respond to external signals, understanding collective cellular…

Biological Physics · Physics 2026-02-05 Ashutosh Tripathi , Jörn Dunkel , Dominic J. Skinner

In this paper, we derive a new chemotaxis model with degenerate diffusion and density-dependent chemotactic sensitivity, and we provide a more realistic description of cell migration process for its early and late stages. Different from the…

Analysis of PDEs · Mathematics 2023-07-19 Tianyuan Xu , Shanming Ji , Chunhua Jin , Ming Mei , Jingxue Yin

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

Organisms use specialized sensors to measure their environments, but the fundamental principles that determine their accuracy remain largely unknown. In Escherichia coli chemotaxis, we previously found that gradient-climbing speed is…

Biological Physics · Physics 2025-08-28 Henry H. Mattingly , Keita Kamino , Jude Ong , Rafaela Kottou , Thierry Emonet , Benjamin B. Machta

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Enhanced diffusion and anti-chemotaxis of enzymes have been reported in several experiments in the last decade, opening up entirely new avenues of research in the bio-nanosciences both at the applied and fundamental level. Here, we…

Statistical Mechanics · Physics 2020-07-29 Daniel Maria Busiello , Paolo De Los Rios , Francesco Piazza

We study the chemotaxis of a population of genetically identical swimming bacteria undergoing run and tumble dynamics driven by stochastic switching between clockwise and counterclockwise rotation of the flagellar rotary system.…

Cell Behavior · Quantitative Biology 2020-07-17 Margaritis Voliotis , Jerko Rosko , Teuta Pilizota , Tanniemola Liverpool

We study single cell E.coli chemotaxis in a spatio-temporally varying attractant environment. Modeling the attractant concentration in the form of a traveling sine wave, we measure in our simulations, the chemotactic drift velocity of the…

Cell Behavior · Quantitative Biology 2025-06-06 Shobhan Dev Mandal , Sakuntala Chatterjee

While it is commonly observed that the shape dynamics of mammalian cells can undergo large random fluctuations, theoretical models aiming at capturing cell mechanics often focus on the deterministic part of the motion. In this paper, we…

Biological Physics · Physics 2021-04-07 Vikram Deshpande , Antonio DeSimone , Robert McMeeking , Pierre Recho

A novel mechanism for cell differentiation is proposed, based on the dynamic clustering in a globally coupled chaotic system. A simple model with metabolic reaction, active transport of chemicals from media, and cell division is found to…

adap-org · Physics 2009-10-22 Kunihiko Kaneko , Tetsuya Yomo

Biological cells are able to adapt their behaviour in response to environmental cues. Durotaxis is a phenomenon in which cells adjust their migration depending on the mechanical properties of a surrounding substrate. Although durotaxis has…

Biological Physics · Physics 2026-05-11 Sohei Nakamura , Mitsusuke Tarama

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

Cell Behavior · Quantitative Biology 2019-07-08 Shou-Wen Wang , Lei-Han Tang

This paper deals with the derivation of a collective model of cell populations out of an individual-based description of the underlying physical particle system. By looking at the spatial distribution of cells in terms of time-evolving…

Mathematical Physics · Physics 2014-11-12 Annachiara Colombi , Marco Scianna , Andrea Tosin

Chemotaxis and reactions are fundamental processes in biology, often intricately intertwined. Chemotaxis, in particular, can be crucial in maintaining and accelerating a reaction. In this work, we extend the investigation initiated by…

Analysis of PDEs · Mathematics 2024-12-31 Crystianne L. De Andrade , Alexander A. Kiselev

Collective cell responses to exogenous cues depend on cell-cell interactions. In principle, these can result in enhanced sensitivity to weak and noisy stimuli. However, this has not yet been shown experimentally, and, little is known about…

Bacterial chemotaxis in Escherichia coli is a canonical system for the study of signal transduction. A remarkable feature of this system is the coexistence of precise adaptation in population with large fluctuating cellular behavior in…

Molecular Networks · Quantitative Biology 2019-08-19 Thierry Emonet , Philippe Cluzel

Motile bacteria can migrate along chemical gradients in a process known as chemotaxis. When exposed to uniform environmental stress, Escherichia coli cells coordinate their chemotactic responses to form millimeter-sized condensates…

Biological Physics · Physics 2025-05-02 Nir Livne , Ady Vaknin , Oded Agam